Optimized aerodynamic profile for a turbine vane, in particular for a nozzle of a turbine

ABSTRACT

When cold and in the non-coated state, the aerodynamic profile is substantially identical to a nominal profile determined by the Cartesian coordinates X,Y, Zadim given in Table 1, in which the coordinate Zadim is the quotient D/H where D is the distance of the point under consideration from a first reference plane P 0  situated at the base of the nominal profile, and H is the height of said profile measured from the first reference plane to a second reference plane P 1 . The measurements D and H are taken radially relative to the axis of the turbine, while the X coordinate is measured in the axial direction of the turbine.

CROSS-REFERENCE TO RELATED APPLICATION

This application claims the benefit of priority to U.S. Patent Application No. 62/504,556, filed on May 11, 2017, the entirety of which is incorporated by reference herein.

INTRODUCTION

The present disclosure relates to an aerodynamic profile for a turbine vane.

In particular, the disclosure relates to the aerodynamic profile of a nozzle vane forming a portion of the stator of a gas turbine, and more particularly of a low pressure turbine of the type used in a turbojet of an aircraft.

The disclosure relates in particular to a nozzle vane of a turbine having a plurality of stages, preferably five stages.

Such a profile should enable the turbine to provide the desired efficiency, and in order to do that it must be such that the flow of air around the profile is sound over the working spectrum of the turbine, i.e. substantially such that it does not give rise to turbulence, which is harmful for overall efficiency.

It must be capable of being installed properly in the environment of the engine, and in particular, for a nozzle vane forming a portion of the stator of the turbine, it must be capable of being fastened easily to the sectors of the foot platform (the zone of the vane that is furthest from the axis of rotation of the turbine) and of the head platform (the zone that is closest to said axis). Furthermore, this part must present a profile enabling it to be manufactured in a reliable and cost-effective manner by available manufacturing methods, such as casting, forging, machining, additive fabrication, or else weaving, without this list being limitative.

Furthermore, the profile of the vane must enable it to withstand the mechanical stresses, to which the vane is subjected, by enabling those stresses to be spread over the entire vane in such a manner as to avoid premature wear thereof. This spreading must apply both in static mode and in dynamic mode.

An object of the disclosure is to propose an aerodynamic profile for a turbine vane that is optimized, and capable of satisfying those objectives.

This object is achieved by the fact that when cold and in a non-coated state, said profile is substantially identical to a nominal profile determined by the Cartesian coordinates X,Y,Zadim given in Table 1, in which the coordinate Zadim is the quotient D/H where D is the distance of the point P under consideration from a reference X,Y plane situated at the base of the nominal profile, and H is the height of said profile measured from said reference plane that is the intersection of the stacking axis of the vane and the axisymmetric surface of the hub, out to a second reference plane that is the intersection of said stacking axis with the axisymmetric surface of the casing, the measurements D and H being taken radially relative to the axis of the turbine, while the coordinate X is measured in the axial direction of the turbine.

This profile has been determined as a result of numerous tests and simulations. It is defined cold, i.e. at an ambient temperature of 20° C. That is a reference temperature at which the profile is geometrically determined. The above-mentioned objectives of aerodynamics and mechanical optimization are naturally valid for the conditions of use of this aerodynamic profile, i.e. when hot, at a temperature that is stabilized when the engine of which the turbine forms a part is being used under cruising conditions.

Furthermore, the aerodynamic profile of the disclosure is defined in the non-coated state. Since turbine vanes are subjected to high temperature gradients, it is common practice for them to be provided with a coating having thermal properties enabling them more easily to withstand such temperature variations. The profile is determined prior to installing such a coating.

It is stated above that the profile of the disclosure is “substantially identical” to the nominal profile. This means that the profile may depart very slightly from said nominal profile.

The aerodynamic profile is thus preferably defined within an envelope of ±1 millimeter (mm) in a direction normal to the surface of the nominal profile.

It is also preferable for the X,Y coordinates of the aerodynamic profile to lie within a range of ±5% relative to the X,Y coordinates of the nominal profile.

In addition, the aerodynamic profile may be positioned rotated within ±10°, particularly within ±5°, more particularly within ±3°, with respect to the radial axis of the vane, along which the coordinate Zadim is measured.

These variations take account in particular to at least one of manufacturing tolerances of the profile, the setting of the profile to adapt to the environment when in operation, and possible deformation occurring when mounting the vane and integrating the same in the nozzle.

With a nozzle vane, i.e. a portion of the stator of a turbine, the profile serves to orient the fluid correctly for the turbine blades that are situated downstream, and that belong in particular to the rotary wheel of the same stage of the turbine.

BRIEF DESCRIPTION OF THE DRAWINGS

The disclosure can be better understood and its advantages appear better on reading the following detailed description of an embodiment given by way of non-limiting example. The description refers to the accompanying drawings, in which:

FIG. 1 is a fragmentary axial diagrammatic section view of a turbine including a vane of profile that corresponds to that of the present disclosure;

FIG. 2 shows a vane of the turbine.

DETAILED DESCRIPTION

The turbine shown in axial section in FIG. 1 comprises five stages referenced respectively S1 to S5. In the direction DF going from upstream to downstream, each stage comprises a nozzle that forms a portion of the stator of the turbine and that has a plurality of radially-oriented vanes, and a rotary wheel that forms a portion of the rotor of the turbine and that likewise includes a plurality of radially-oriented blades.

In FIG. 1, the vanes of the nozzles of stages S1 to S5 are given references N1 to N5 (these vanes are shown in dashed lines, for ease of representation), whereas the blades of rotary wheels of stages S1 to S5 are given respective references W1 to W5.

In known manner, the vanes of the nozzles are fastened at both ends to stationary structure portions, while the blades of the rotary wheels are fastened to a rotary disk via their roots that are formed at their radially-inner ends closer to the axis of the rotation A of the turbine. The disks forming parts of the wheels W1 to W5 are constrained to rotate together.

The disclosure relates a vane of one of the nozzles of the turbine that, as mentioned above, preferably comprises five stages as shown, without this number being limiting.

As best seen in FIG. 2, via its foot 10, which is its end remote from the axis of rotation A, the vane is fastened to the outer ring of the turbine, which ring is stationary in rotation. Via its head 14, formed by its end closer to the axis of rotation A, the vane is fastened to an inner shroud of the turbine. By convention, the aerodynamic profile 18 of the vane is the entire portion of said vane that extends radially outwards from its head 14 to its foot 10 without incorporating the fastenings respectively to the outer ring and to the inner shroud.

In FIG. 2, there can be seen a frame of reference comprising Cartesian coordinates X,Y,Z. The radial direction Z is the height direction of the vane, which extends radially from its head to its foot. This direction Z is perpendicular to the axial direction X which is the direction of the axis of rotation A of the turbine. The direction Y is perpendicular to the X,Z plane and is therefore tangential to the direction of rotation of the turbine.

The nominal profile from which the aerodynamic profile of the disclosure is determined is defined in following Table 1 of coordinates, in which the coordinate Zadim, measured along the axis Z is non-dimensional, whereas the dimensions X and Y, respectively measured along the axes X and Y, are expressed in millimeters.

TABLE 1 X Y Zadim −15.4967 −4.24116 −0.150 −15.5137 −4.29028 −0.150 −15.5216 −4.36542 −0.150 −15.4956 −4.47905 −0.150 −15.4085 −4.6162 −0.150 −15.2503 −4.7576 −0.150 −15.0259 −4.89843 −0.150 −14.7365 −5.03423 −0.150 −14.3828 −5.16159 −0.150 −13.9657 −5.27668 −0.150 −13.4864 −5.37522 −0.150 −12.9467 −5.45286 −0.150 −12.3493 −5.50425 −0.150 −11.6972 −5.52132 −0.150 −10.9954 −5.49767 −0.150 −10.2493 −5.42897 −0.150 −9.46517 −5.31192 −0.150 −8.64941 −5.14515 −0.150 −7.80968 −4.92459 −0.150 −6.95863 −4.63397 −0.150 −6.11449 −4.25411 −0.150 −5.29827 −3.77373 −0.150 −4.53581 −3.18484 −0.150 −3.84128 −2.50138 −0.150 −3.21626 −1.74652 −0.150 −2.65809 −0.94073 −0.150 −2.15871 −0.10328 −0.150 −1.71083 0.750898 −0.150 −1.30849 1.61002 −0.150 −0.94582 2.46392 −0.150 −0.61577 3.303181 −0.150 −0.31308 4.120109 −0.150 −0.03439 4.908414 −0.150 0.222654 5.662702 −0.150 0.459527 6.378374 −0.150 0.677931 7.051249 −0.150 0.877652 7.678273 −0.150 1.060006 8.256431 −0.150 1.224417 8.78388 −0.150 1.370878 9.259205 −0.150 1.49972 9.681538 −0.150 1.611224 10.05073 −0.150 1.705819 10.36732 −0.150 1.784127 10.63259 −0.150 1.847942 10.84832 −0.150 1.894873 11.01834 −0.150 1.886217 11.14977 −0.150 1.83709 11.2275 −0.150 1.791752 11.26375 −0.150 1.75137 11.28259 −0.150 1.712049 11.29219 −0.150 1.659347 11.29325 −0.150 1.579716 11.26793 −0.150 1.49604 11.18251 −0.150 1.439238 11.03272 −0.150 1.366325 10.84184 −0.150 1.276772 10.60711 −0.150 1.168819 10.32708 −0.150 1.041875 10.0006 −0.150 0.89534 9.627275 −0.150 0.728923 9.207281 −0.150 0.542093 8.741544 −0.150 0.335637 8.231076 −0.150 0.108566 7.678177 −0.150 −0.13817 7.084882 −0.150 −0.40594 6.454694 −0.150 −0.6943 5.790812 −0.150 −1.00569 5.098149 −0.150 −1.34174 4.381748 −0.150 −1.70301 3.646599 −0.150 −2.09215 2.899194 −0.150 −2.51554 2.148719 −0.150 −2.97809 1.404758 −0.150 −3.48265 0.67694 −0.150 −4.03128 −0.02427 −0.150 −4.62849 −0.68434 −0.150 −5.27817 −1.28537 −0.150 −5.97815 −1.81048 −0.150 −6.71661 −2.25175 −0.150 −7.47904 −2.60616 −0.150 −8.24799 −2.88167 −0.150 −9.00631 −3.098 −0.150 −9.74181 −3.27403 −0.150 −10.446 −3.42457 −0.150 −11.1148 −3.55053 −0.150 −11.745 −3.64934 −0.150 −12.3333 −3.71831 −0.150 −12.8765 −3.75865 −0.150 −13.3714 −3.77765 −0.150 −13.8157 −3.78504 −0.150 −14.2087 −3.79217 −0.150 −14.5498 −3.80737 −0.150 −14.8382 −3.84123 −0.150 −15.0723 −3.89709 −0.150 −15.2492 −3.97363 −0.150 −15.3665 −4.06315 −0.150 −15.4372 −4.142 −0.150 −15.7148 −2.889 −0.075 −15.7396 −2.93593 −0.075 −15.7588 −3.01063 −0.075 −15.7493 −3.12929 −0.075 −15.6839 −3.28167 −0.075 −15.5504 −3.45221 −0.075 −15.3516 −3.63549 −0.075 −15.0871 −3.82668 −0.075 −14.7571 −4.0225 −0.075 −14.3613 −4.21848 −0.075 −13.8998 −4.40971 −0.075 −13.3735 −4.59058 −0.075 −12.7835 −4.75388 −0.075 −12.1317 −4.88981 −0.075 −11.4218 −4.98916 −0.075 −10.6588 −5.04237 −0.075 −9.84951 −5.03988 −0.075 −9.00227 −4.972 −0.075 −8.128 −4.82653 −0.075 −7.24176 −4.5869 −0.075 −6.36389 −4.23716 −0.075 −5.51712 −3.77054 −0.075 −4.72318 −3.19023 −0.075 −3.9944 −2.51334 −0.075 −3.33332 −1.76255 −0.075 −2.7364 −0.95952 −0.075 −2.19685 −0.12317 −0.075 −1.70773 0.731265 −0.075 −1.26299 1.591487 −0.075 −0.858 2.44753 −0.075 −0.48674 3.289924 −0.075 −0.14437 4.110697 −0.075 0.172351 4.903262 −0.075 0.465606 5.662015 −0.075 0.736852 6.382154 −0.075 0.987475 7.059415 −0.075 1.21762 7.690506 −0.075 1.428252 8.272398 −0.075 1.618923 8.803159 −0.075 1.789593 9.281335 −0.075 1.94047 9.706062 −0.075 2.071683 10.07723 −0.075 2.183692 10.39538 −0.075 2.27693 10.66189 −0.075 2.353104 10.87852 −0.075 2.410152 11.0493 −0.075 2.410381 11.18378 −0.075 2.364208 11.26552 −0.075 2.319495 11.30439 −0.075 2.278968 11.32505 −0.075 2.239605 11.33598 −0.075 2.186461 11.3386 −0.075 2.105501 11.31506 −0.075 2.018792 11.231 −0.075 1.953484 11.08307 −0.075 1.869691 10.89462 −0.075 1.76701 10.66277 −0.075 1.643816 10.38603 −0.075 1.499582 10.06322 −0.075 1.333842 9.693907 −0.075 1.146456 9.278207 −0.075 0.937103 8.817 −0.075 0.706402 8.311364 −0.075 0.4538 7.763498 −0.075 0.18003 7.17556 −0.075 −0.11581 6.550966 −0.075 −0.43354 5.893119 −0.075 −0.77505 5.206868 −0.075 −1.14136 4.497132 −0.075 −1.53375 3.769408 −0.075 −1.95471 3.03039 −0.075 −2.40884 2.288663 −0.075 −2.89966 1.553201 −0.075 −3.43003 0.833688 −0.075 −4.00228 0.14083 −0.075 −4.61999 −0.51155 −0.075 −5.28558 −1.10731 −0.075 −5.99722 −1.63039 −0.075 −6.74631 −2.06949 −0.075 −7.51979 −2.41876 −0.075 −8.3015 −2.68096 −0.075 −9.07541 −2.86707 −0.075 −9.82865 −2.99083 −0.075 −10.5517 −3.06505 −0.075 −11.2379 −3.09699 −0.075 −11.8816 −3.09199 −0.075 −12.4784 −3.05491 −0.075 −13.0246 −2.99192 −0.075 −13.5182 −2.91364 −0.075 −13.9591 −2.83086 −0.075 −14.3485 −2.75517 −0.075 −14.6878 −2.69495 −0.075 −14.9787 −2.65866 −0.075 −15.2215 −2.65366 −0.075 −15.414 −2.68154 −0.075 −15.5515 −2.73876 −0.075 −15.6387 −2.80061 −0.075 −15.7456 −2.30652 0.000 −15.7755 −2.35194 0.000 −15.8021 −2.4263 0.000 −15.804 −2.54819 0.000 −15.7542 −2.7106 0.000 −15.64 −2.90076 0.000 −15.4623 −3.11318 0.000 −15.2197 −3.34305 0.000 −14.9115 −3.58688 0.000 −14.5367 −3.84013 0.000 −14.0944 −4.09731 0.000 −13.5844 −4.35182 0.000 −13.0066 −4.59504 0.000 −12.3614 −4.81574 0.000 −11.6513 −5.00203 0.000 −10.8802 −5.1396 0.000 −10.0545 −5.21258 0.000 −9.18404 −5.20348 0.000 −8.28306 −5.09318 0.000 −7.37094 −4.86495 0.000 −6.47191 −4.50661 0.000 −5.61094 −4.01753 0.000 −4.80703 −3.41079 0.000 −4.07073 −2.70686 0.000 −3.4041 −1.92886 0.000 −2.80236 −1.09938 0.000 −2.25883 −0.23704 0.000 −1.76645 0.642871 0.000 −1.31877 1.527869 0.000 −0.91092 2.407841 0.000 −0.53755 3.27358 0.000 −0.19374 4.117003 0.000 0.123967 4.931347 0.000 0.417944 5.710864 0.000 0.689801 6.450615 0.000 0.940901 7.146275 0.000 1.17184 7.794335 0.000 1.383409 8.391774 0.000 1.575372 8.936535 0.000 1.747718 9.42713 0.000 1.900563 9.862713 0.000 2.03394 10.24321 0.000 2.148252 10.56919 0.000 2.243754 10.84212 0.000 2.321955 11.06393 0.000 2.381026 11.23862 0.000 2.384307 11.3763 0.000 2.337407 11.46024 0.000 2.291388 11.49978 0.000 2.249607 11.5204 0.000 2.209487 11.53077 0.000 2.155535 11.53227 0.000 2.074099 11.50615 0.000 1.988575 11.41844 0.000 1.921836 11.2686 0.000 1.836172 11.07774 0.000 1.731439 10.84281 0.000 1.606174 10.56223 0.000 1.459983 10.23474 0.000 1.292533 9.859815 0.000 1.103811 9.437532 0.000 0.893657 8.968701 0.000 0.6625 8.454506 0.000 0.410068 7.897032 0.000 0.136794 7.2986 0.000 −0.15795 6.662527 0.000 −0.4744 5.992435 0.000 −0.81422 5.293081 0.000 −1.17824 4.569292 0.000 −1.56833 3.826894 0.000 −1.98725 3.072698 0.000 −2.43864 2.314726 0.000 −2.92549 1.561451 0.000 −3.45089 0.822486 0.000 −4.01794 0.108792 0.000 −4.63013 −0.56629 0.000 −5.28932 −1.18798 0.000 −5.99425 −1.74089 0.000 −6.73909 −2.21098 0.000 −7.51258 −2.5889 0.000 −8.29961 −2.87185 0.000 −9.08417 −3.06262 0.000 −9.85105 −3.1696 0.000 −10.5876 −3.2033 0.000 −11.2838 −3.17558 0.000 −11.9323 −3.09885 0.000 −12.5281 −2.9852 0.000 −13.0682 −2.84646 0.000 −13.5525 −2.69638 0.000 −13.9825 −2.54744 0.000 −14.361 −2.41094 0.000 −14.691 −2.2956 0.000 −14.9752 −2.20819 0.000 −15.2163 −2.15783 0.000 −15.4134 −2.14805 0.000 −15.5614 −2.17862 0.000 −15.6588 −2.22629 0.000 −15.8328 −1.07008 0.100 −15.8701 −1.11224 0.100 −15.9084 −1.18458 0.100 −15.9292 −1.30915 0.100 −15.9065 −1.48364 0.100 −15.8259 −1.69888 0.100 −15.6865 −1.94961 0.100 −15.4856 −2.23165 0.100 −15.2201 −2.54036 0.100 −14.8892 −2.87212 0.100 −14.4899 −3.22067 0.100 −14.02 −3.57839 0.100 −13.4773 −3.93522 0.100 −12.8598 −4.27826 0.100 −12.1669 −4.59206 0.100 −11.3998 −4.85684 0.100 −10.5626 −5.04795 0.100 −9.66533 −5.13862 0.100 −8.72567 −5.10158 0.100 −7.76931 −4.91649 0.100 −6.8265 −4.57527 0.100 −5.92453 −4.08658 0.100 −5.08214 −3.47082 0.100 −4.30824 −2.75331 0.100 −3.60388 −1.95926 0.100 −2.96472 −1.11155 0.100 −2.38426 −0.22934 0.100 −1.85672 0.672288 0.100 −1.37653 1.580685 0.100 −0.93626 2.483912 0.100 −0.53199 3.373102 0.100 −0.15895 4.239839 0.100 0.186397 5.077009 0.100 0.506601 5.878525 0.100 0.803185 6.63926 0.100 1.077503 7.3547 0.100 1.330458 8.021056 0.100 1.562574 8.635279 0.100 1.773809 9.19515 0.100 1.964117 9.699129 0.100 2.133424 10.1464 0.100 2.28178 10.53688 0.100 2.409347 10.87126 0.100 2.516394 11.15106 0.100 2.604161 11.37836 0.100 2.671403 11.55718 0.100 2.683809 11.69933 0.100 2.639011 11.78829 0.100 2.592399 11.83047 0.100 2.549422 11.85244 0.100 2.508326 11.86331 0.100 2.452985 11.86479 0.100 2.369754 11.83708 0.100 2.283092 11.74608 0.100 2.20979 11.59463 0.100 2.115691 11.40177 0.100 2.0009 11.16422 0.100 1.864048 10.88029 0.100 1.704865 10.54864 0.100 1.523174 10.16865 0.100 1.319095 9.740345 0.100 1.092677 9.264458 0.100 0.8442 8.742281 0.100 0.573756 8.175809 0.100 0.281511 7.567561 0.100 −0.03274 6.920767 0.100 −0.36964 6.239365 0.100 −0.73048 5.5281 0.100 −1.11615 4.791981 0.100 −1.52829 4.036898 0.100 −1.96948 3.269773 0.100 −2.44282 2.498528 0.100 −2.95133 1.731837 0.100 −3.49771 0.979195 0.100 −4.08538 0.251953 0.100 −4.71745 −0.43676 0.100 −5.39477 −1.07323 0.100 −6.11611 −1.64258 0.100 −6.87711 −2.12952 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−20.5084 3.661446 1.000 −20.633 3.291626 1.000 −20.7286 2.830279 1.000 −20.7578 2.277281 1.000 −20.674 1.645733 1.000 −20.4238 0.970476 1.000 −19.9841 0.299426 1.000 −19.3617 −0.32769 1.000 −18.5773 −0.88457 1.000 −17.6515 −1.34778 1.000 −16.603 −1.69382 1.000 −15.4535 −1.90164 1.000 −14.2278 −1.95394 1.000 −12.954 −1.83761 1.000 −11.6628 −1.53958 1.000 −10.3935 −1.04136 1.000 −9.18471 −0.34475 1.000 −8.06849 0.531881 1.000 −7.05974 1.553173 1.000 −6.16424 2.685651 1.000 −5.37822 3.897069 1.000 −4.69299 5.159524 1.000 −4.09128 6.446728 1.000 −3.55957 7.739236 1.000 −3.0884 9.022202 1.000 −2.66779 10.28247 1.000 −2.28817 11.50853 1.000 −1.941 12.6904 1.000 −1.61907 13.81939 1.000 −1.31752 14.88828 1.000 −1.03577 15.89168 1.000 −0.77398 16.82515 1.000 −0.53243 17.685 1.000 −0.31009 18.46797 1.000 −0.10955 19.17275 1.000 0.066205 19.79907 1.000 0.216212 20.34707 1.000 0.340984 20.8176 1.000 0.442056 21.21235 1.000 0.52159 21.53409 1.000 0.582089 21.78681 1.000 0.61841 21.97746 1.000 0.599788 22.11167 1.000 0.554588 22.18424 1.000 0.50173 22.22318 1.000 0.454618 22.23691 1.000 0.390725 22.23552 1.000 0.297514 22.19593 1.000 0.200934 22.08768 1.000 0.102081 21.9205 1.000 −0.01972 21.70479 1.000 −0.16421 21.43668 1.000 −0.33044 21.11302 1.000 −0.51834 20.73218 1.000 −0.72879 20.29387 1.000 −0.96221 19.79841 1.000 −1.22229 19.24844 1.000 −1.51202 18.64704 1.000 −1.82589 17.99391 1.000 −2.16289 17.29159 1.000 −2.5224 16.54336 1.000 −2.90393 15.75316 1.000 −3.30786 14.9258 1.000 −3.73558 14.0671 1.000 −4.18901 13.18362 1.000 −4.67039 12.28258 1.000 −5.18213 11.37189 1.000 −5.72658 10.46004 1.000 −6.30508 9.555574 1.000 −6.92232 8.670125 1.000 −7.58589 7.819135 1.000 −8.30172 7.019901 1.000 −9.07234 6.290738 1.000 −9.89681 5.651694 1.000 −10.7695 5.124381 1.000 −11.6839 4.744233 1.000 −12.6163 4.543129 1.000 −13.5278 4.539363 1.000 −14.374 4.721296 1.000 −15.1343 5.028242 1.000 −15.8317 5.359192 1.000 −16.497 5.623956 1.000 −17.1386 5.765943 1.000 −17.7371 5.778933 1.000 −18.2674 5.685344 1.000 −18.716 5.524628 1.000 −19.0835 5.334013 1.000 −19.3761 5.138054 1.000 −19.6026 4.954339 1.000 −19.7723 4.793721 1.000 −19.8944 4.663017 1.000 −19.9778 4.565302 1.000 −20.266 6.375169 1.022 −20.32 6.31403 1.022 −20.3964 6.223367 1.022 −20.5098 6.079714 1.022 −20.6593 5.873165 1.022 −20.8399 5.593376 1.022 −21.0402 5.229079 1.022 −21.2433 4.770158 1.022 −21.4247 4.208868 1.022 −21.5301 3.537667 1.022 −21.4861 2.772311 1.022 −21.2303 1.955788 1.022 −20.721 1.163174 1.022 −20.0169 0.41978 1.022 −19.1399 −0.24764 1.022 −18.1025 −0.80156 1.022 −16.9278 −1.21258 1.022 −15.645 −1.46501 1.022 −14.2847 −1.54611 1.022 −12.8773 −1.4483 1.022 −11.4538 −1.15833 1.022 −10.063 −0.63351 1.022 −8.74309 0.1044 1.022 −7.52123 1.024258 1.022 −6.41463 2.092689 1.022 −5.42607 3.271613 1.022 −4.55388 4.529108 1.022 −3.78065 5.830488 1.022 −3.08964 7.14935 1.022 −2.47142 8.467628 1.022 −1.91567 9.769352 1.022 −1.41203 11.04054 1.022 −0.95096 12.26914 1.022 −0.52441 13.44483 1.022 −0.12515 14.55857 1.022 0.247773 15.60436 1.022 0.594147 16.57735 1.022 0.913391 17.47366 1.022 1.207296 18.28942 1.022 1.472683 19.02354 1.022 1.705205 19.67636 1.022 1.903318 20.2483 1.022 2.067627 20.74017 1.022 2.200263 21.1535 1.022 2.30422 21.49092 1.022 2.383008 21.7563 1.022 2.432441 21.95707 1.022 2.429304 22.10135 1.022 2.393758 22.18521 1.022 2.342711 22.23302 1.022 2.295799 22.25 1.022 2.230798 22.25065 1.022 2.135209 22.21222 1.022 2.029993 22.10892 1.022 1.908931 21.95284 1.022 1.757669 21.75138 1.022 1.577492 21.49942 1.022 1.369438 21.19342 1.022 1.134434 20.83106 1.022 0.87319 20.41123 1.022 0.583529 19.93547 1.022 0.259803 19.40821 1.022 −0.1014 18.83336 1.022 −0.49218 18.20856 1.022 −0.91148 17.53638 1.022 −1.35833 16.82011 1.022 −1.83207 16.06383 1.022 −2.33294 15.2727 1.022 −2.86186 14.45287 1.022 −3.42016 13.61128 1.022 −4.00941 12.75561 1.022 −4.63139 11.89432 1.022 −5.28752 11.03635 1.022 −5.97814 10.19058 1.022 −6.70849 9.371037 1.022 −7.48611 8.596477 1.022 −8.31623 7.888081 1.022 −9.19971 7.268667 1.022 −10.1274 6.75414 1.022 −11.0909 6.370527 1.022 −12.0763 6.15543 1.022 −13.0451 6.141522 1.022 −13.9575 6.355678 1.022 −14.7385 6.773186 1.022 −15.3992 7.287862 1.022 −16.0088 7.786295 1.022 −16.6915 8.049633 1.022 −17.3616 8.05539 1.022 −17.9582 7.918026 1.022 −18.4654 7.712217 1.022 −18.8885 7.476016 1.022 −19.2398 7.244026 1.022 −19.5307 7.035225 1.022 −19.7642 6.852327 1.022 −19.9439 6.696841 1.022 −20.0763 6.572077 1.022 −20.1684 6.479504 1.022 −20.9155 6.234441 1.041 −20.9717 6.169319 1.041 −21.0515 6.073086 1.041 −21.1711 5.921603 1.041 −21.3318 5.706044 1.041 −21.532 5.41759 1.041 −21.764 5.0457 1.041 −22.0159 4.580415 1.041 −22.2686 4.012211 1.041 −22.4666 3.323794 1.041 −22.5311 2.516274 1.041 −22.3815 1.630112 1.041 −21.9352 0.739523 1.041 −21.2557 −0.09928 1.041 −20.3812 −0.86419 1.041 −19.3228 −1.51036 1.041 −18.1062 −2.00212 1.041 −16.766 −2.32358 1.041 −15.3352 −2.46488 1.041 −13.8491 −2.42471 1.041 −12.3343 −2.19775 1.041 −10.8416 −1.72063 1.041 −9.4171 −1.00379 1.041 −8.09426 −0.08138 1.041 −6.89799 1.013929 1.041 −5.83468 2.239226 1.041 −4.90667 3.559392 1.041 −4.09539 4.933975 1.041 −3.37876 6.330793 1.041 −2.74551 7.729364 1.041 −2.18388 9.112043 1.041 −1.6816 10.46342 1.041 −1.22719 11.77031 1.041 −0.81108 13.02164 1.041 −0.42309 14.20726 1.041 −0.06125 15.32062 1.041 0.274545 16.35653 1.041 0.583895 17.31085 1.041 0.86936 18.1794 1.041 1.127633 18.9609 1.041 1.353166 19.6559 1.041 1.543823 20.26496 1.041 1.700177 20.78892 1.041 1.824719 21.22935 1.041 1.920912 21.58899 1.041 1.992826 21.87187 1.041 2.036469 22.08547 1.041 2.034299 22.2376 1.041 2.000146 22.32735 1.041 1.946799 22.37826 1.041 1.898381 22.39389 1.041 1.83211 22.39037 1.041 1.737745 22.34415 1.041 1.633732 22.23549 1.041 1.507435 22.07842 1.041 1.348855 21.87609 1.041 1.160552 21.62224 1.041 0.943803 21.31307 1.041 0.700581 20.94557 1.041 0.432713 20.51799 1.041 0.136248 20.03307 1.041 −0.19643 19.49651 1.041 −0.56864 18.91224 1.041 −0.97072 18.27679 1.041 −1.40185 17.59295 1.041 −1.86109 16.86414 1.041 −2.34799 16.09463 1.041 −2.86323 15.29002 1.041 −3.40787 14.45668 1.041 −3.98339 13.60182 1.041 −4.59152 12.73346 1.041 −5.23435 11.86057 1.041 −5.91305 10.99222 1.041 −6.62848 10.13812 1.041 −7.38805 9.314915 1.041 −8.20053 8.544167 1.041 −9.07249 7.851699 1.041 −10.0014 7.261132 1.041 −10.9743 6.787773 1.041 −11.9839 6.467115 1.041 −13.0034 6.341475 1.041 −13.9853 6.452218 1.041 −14.8763 6.811475 1.041 −15.58 7.37604 1.041 −16.1895 7.973011 1.041 −16.8182 8.474527 1.041 −17.5538 8.577624 1.041 −18.2212 8.399015 1.041 −18.7793 8.121202 1.041 −19.2409 7.807669 1.041 −19.6174 7.48707 1.041 −19.9297 7.192183 1.041 −20.1977 6.943943 1.041 −20.4201 6.738624 1.041 −20.5952 6.570871 1.041 −20.7258 6.438985 1.041 −20.8177 6.342399 1.041 −20.876 6.27879 1.041

In the above Table 1, the plane Zadim=0 corresponds to the reference plane P0 situated at the base of the profile. This plane P0 is the intersection of the stacking axis AE of the set of vanes with the axisymmetric surface of the hub, i.e. it passes via the intersection between the axis AE and the surface where it is assembled with the inner shroud. The plane Zadim=1 corresponds to the reference plane P1 situated at the top of the profile. This plane P1 is the intersection between the axis AE and the axisymmetric surface of the casing, i.e. it passes via the intersection of the axis AE with the surface where it is assembled with the outer ring.

By convention, the stacking axis AE of a vane of a nozzle, is an axis that extends in the radial direction Z and is an axis on which the various X,Y sections of the set of vanes are “stacked” when designing the set of vanes.

As mentioned at the beginning of the present description, the aerodynamic profile of the disclosure is substantially identical to the nominal profile defined in the above table, i.e. it departs from said nominal profile by very little at most, being defined in particular within an envelope of ±1 mm in a direction normal to the surface of the nominal profile, and/or having X,Y coordinates lying within a range of ±5% relative to the coordinates X,Y of the nominal profile. Also, the aerodynamic profile is positioned rotated within ±10°, particularly within ±5°, more particularly within ±3°, with respect to the stacking axis of the vane. In other words, the stagger angle may vary by ±10°, particularly by ±5°, more particularly by ±3°.

The coordinate Zadim is non-dimensional, i.e. for a point P, situated at a distance D from the plane P0 (where D is measured along the axis Z), the value of Zadim is D/H, where H represents the total height of the profile as measured between the planes P0 and P1. Naturally, in the Table 1 above, by multiplying the coordinate Zadim by the height H, it is possible to obtain the complete coordinates of the vane.

By way of example, the total height H is preferably about 113 mm ±10%. By way of example, the plane P0 is situated at a distance of about 446 mm ±10% from the axis A.

In the above table, the profile is characterized by eighteen section planes at constant Zadim coordinates, for which the coordinates X and Y are specified. These eighteen section planes include eighteen section planes located between Zadim=0 and Zadim=1, and thus arranged in the fluid stream, these section planes being distributed from P0 to P1. The eighteen section planes also include four section planes which are substantially outside the fluid stream (two section planes with Zadim<0, and two section planes with Zadim>1), these four section planes being provided for ensuring geometric continuity of the stacking, close to the head and the foot, respectively. In each section plane at constant coordinate Zadim, the section of the profile is given by a continuous and smooth curve, interconnecting all of the points (X,Y). In each section plane, the profile is interpolated so as to generate a uniform profile. Between the section planes, the profile is to be interpolated so as to generate a complete vane, as homogeneous as possible.

It is advantageous for the nozzle that includes the vane of the disclosure to have 150 to 170 vanes, more particularly 160 vanes, that present aerodynamic profiles as defined above. 

What is claimed is:
 1. A turbine vane presenting an aerodynamic profile defining the turbine vane when cold and in a non-coated state, the aerodynamic profile being substantially identical to a nominal profile determined by Cartesian coordinates X,Y,Zadim given in Table 1, in which the coordinate Zadim is a quotient D/H, where D is a distance of a point under consideration from a reference X,Y plane situated at a reference plane P0, and H is a height measured from said reference plane P0 out to an end of the turbine vane, the measurements D and H being taken radially relative to an axis of a turbine, while the coordinate X is measured in an axial direction of the turbine.
 2. The turbine vane as claimed in claim 1, wherein the turbine vane is a nozzle vane forming a part of a stator of the turbine.
 3. A turbine, including a plurality of turbine vanes as claimed in claim
 1. 4. The turbine as claimed in claim 3, including a nozzle that is stationary in rotation, having the plurality of turbine vanes, wherein the plurality of turbine vanes comprises 150 to 170 turbine vanes.
 5. The turbine as claimed in claim 3, including a nozzle that is stationary in rotation, having the plurality of turbine vanes, wherein the plurality of turbine vanes comprises 160 turbine vanes.
 6. A turbine nozzle forming a portion of a turbine stator, including a plurality of turbine vanes, wherein each of the plurality of turbine vanes of the turbine nozzle comprises the turbine vane as claimed in claim
 1. 7. The turbine nozzle as claimed in claim 6, wherein the plurality of turbine vanes comprises 150 to 170 turbine vanes.
 8. The turbine nozzle as claimed in claim 6, wherein the plurality of turbine vanes comprises 160 turbine vanes.
 9. A turbine vane presenting an aerodynamic profile defining the turbine vane when cold and in a non-coated state, the aerodynamic profile corresponding to a nominal profile determined by Cartesian coordinates X,Y,Zadim given in Table 1, in which the coordinate Zadim is a quotient D/H, where D is a distance of a point under consideration from a reference X,Y plane situated at a reference plane P0, and H is a height measured from said reference plane P0 out to an end of the turbine vane, the measurements D and H being taken radially relative to an axis of a turbine, while the coordinate X is measured in an axial direction of the turbine, wherein: (1) said aerodynamic profile is defined within an envelope of ±1 mm in a direction normal to a surface of the nominal profile, or (2) the coordinates X,Y of said aerodynamic profile lie within a range of ±5% relative to the coordinates X,Y of the nominal profile.
 10. A turbine vane presenting an aerodynamic profile defining the turbine vane when cold and in a non-coated state, the aerodynamic profile corresponding to a nominal profile determined by Cartesian coordinates X,Y,Zadim given in Table 1, in which the coordinate Zadim is a quotient D/H, where D is a distance of a point under consideration from a reference X,Y plane situated at a reference plane P0, and H is a height measured from said reference plane P0 out to an end of the turbine vane, the measurements D and H being taken radially relative to an axis of a turbine, while the coordinate X is measured in an axial direction of the turbine, wherein the aerodynamic profile is positioned within ±10° with respect to a radial axis of the turbine vane.
 11. The turbine vane as claimed in claim 10, wherein the aerodynamic profile is positioned within ±5° with respect to the radial axis of the turbine vane.
 12. The turbine vane as claimed in claim 10, wherein the aerodynamic profile is positioned within ±3° with respect to the radial axis of the turbine vane. 